Greatest Common Factor of 570/46, 7200/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/46, 7200/311

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 570/46,7200/311

Given fractions are 570/46,7200/311

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 570,7200

Greatest Common Factor of Numerators i.e. GCF of 570,7200 is 30 .

LCM of Denominators means LCM of 46,311 as per the given fractions.

LCM of 46,311 is 14306 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,7200

GCF of Fractions 570/46,7200/311 is 30/14306

2 570, 7200
3 285, 3600
5 95, 1200
19, 240

∴ So the GCF of the given numbers is 2 x 3 x 5 = 30

Greatest Common Factor of 570,7200 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,7200 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 7200

List of positive integer factors of 7200 that divides 7200 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,25,30,32,36,40,45,48,50,60,72,75,80,90,96,100,120,144,150,160,180,200,225,240,288,300,360,400,450,480,600,720,800,900,1200,1440,1800,2400,3600,7200

Greatest Common Factor

We found the factors 570,7200 . The biggest common factor number is the GCF number.
So the greatest common factor 570,7200 is 30.

Lets's calculate LCM of 46,311

Given numbers has no common factors except 1. So, there LCM is their product i.e 14306

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/14306

Therefore, the GCF of Fractions 570/46,7200/311 is 30/14306

Least Common Multiple of 46,311 with GCF Formula

Least Common Multiple of 46,311 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,311) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(46,311) x common factors =1 x 1 = 1

LCM(46,311) = ( 46 × 311 ) / 1

LCM(46,311) = 14306 / 1

LCM(46,311) = 14306


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 570/46, 7200/311

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 570/46, 7200/311?

Answer: GCF of Numerators as per given numbers 570/46, 7200/311 is

GCF of Numerators i.e. for 570,7200 is 30

LCM of denominators i.e. for 46,311 is 14306.

Thus, GCF of Fractions is 30/14306.Finally, GCF of Fractions for 570/46, 7200/311 is 30/14306.